Greatest Common Factor of 817/1366, 598/2690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 817/1366, 598/2690

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 817/1366,598/2690

Given fractions are 817/1366,598/2690

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 817,598

Greatest Common Factor of Numerators i.e. GCF of 817,598 is 1 .

LCM of Denominators means LCM of 1366,2690 as per the given fractions.

LCM of 1366,2690 is 1837270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 817,598

GCF of Fractions 817/1366,598/2690 is 1/1837270

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 817,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,598 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 817,598 . The biggest common factor number is the GCF number.
So the greatest common factor 817,598 is 1.

Lets's calculate LCM of 1366,2690

2 1366, 2690
683, 1345

∴ So the LCM of the given numbers is 2 x 683 x 1345 = 1837270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1837270

Therefore, the GCF of Fractions 817/1366,598/2690 is 1/1837270

Least Common Multiple of 1366,2690 with GCF Formula

Least Common Multiple of 1366,2690 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1366,2690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1366,2690) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(1366,2690) x common factors =2 x 1 = 2

LCM(1366,2690) = ( 1366 × 2690 ) / 2

LCM(1366,2690) = 3674540 / 2

LCM(1366,2690) = 1837270


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 817/1366, 598/2690

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 817/1366, 598/2690?

Answer: GCF of Numerators as per given numbers 817/1366, 598/2690 is

GCF of Numerators i.e. for 817,598 is 1

LCM of denominators i.e. for 1366,2690 is 1837270.

Thus, GCF of Fractions is 1/1837270.Finally, GCF of Fractions for 817/1366, 598/2690 is 1/1837270.